λ
Sequence Observatory

907,301

907301
Deficient Odd Prime

Starting at 907,301, the Collatz iteration reaches 1 after 157 steps. The first transition is 2721904; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 907301
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 907,302
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #907297 ← → #907321

Radix Representation

Decimal 907301
Binary 11011101100000100101 (20 bits)
Octal 0o3354045
Hexadecimal 0xDD825

Divisor Catalog (2)

Collatz Trajectory (157 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

907,301 2,721,904 1,360,952 680,476 340,238 170,119 510,358 255,179 765,538 382,769 1,148,308 574,154 287,077 861,232 430,616 215,308 107,654 53,827 161,482 80,741 242,224 121,112 60,556 30,278 15,139 45,418 22,709 68,128 34,064 17,032 8,516 4,258 2,129 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970

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